Please write on piece of paper, i need to get full grade for this please.

Problem 2 (24 points) Let f(x) - x- x3+7+1 1. Locate the critical points 2. Determine the intervals on which the function is increasing and decreasing 3. Determine the intervals on which the function is concave up or concave down. 4. Find the Max and Min of the Function 5. Identify any inflection points 6. Find the y intercept and some points and Graph the function